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Finding the Third Proportional to 4,787,794 and 10,239,140

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Solution

The third proportional to 4,787,794 and 10,239,140 is: 21,897,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,794 : 10,239,140 = 10,239,140 : x
  2. Step 2: Convert to fraction form
    4,787,794/10,239,140 = 10,239,140/x
  3. Step 3: Cross multiply
    4,787,794x = 10,239,140 × 10,239,140
  4. Step 4: Simplify right side
    4,787,794x = 104,839,987,939,600
  5. Step 5: Solve for x
    x = 104,839,987,939,600/4,787,794
  6. Step 6: Final answer
    x = 21,897,347.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.